1. lim x^2-x-6 / x^2-7x=12 jika x=9

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2. lim 3x^2-8x+4 / x^2-5x+6 jika x=2

3. lim 2-√x / 4-x jika x=4

1. lim x^2-x-6 / x^2-7x=12 jika x=9

Jawaban Terkonfirmasi

1. 9² – 9 – 6 / 9² – 7(9) – 12
 66/6 = 11
2. (3x – 2)(x – 2) / (x – 2)(x – 3)
      3x – 2 / x – 3
x = 2
3(2) – 2 / 2 – 3
4 / -1
= -4
3. frac{2 - sqrt{x} }{4 - x} x frac{2 + sqrt{x} }{2 + sqrt{x} } = frac{(2 - sqrt{x} )(2 + sqrt{x})}{(4 - x)(2 + sqrt{x} )}
= frac{4 - x}{(4 - x)(2 + sqrt{x} )} = frac{1}{2 + sqrt{x} }
x = 4
= frac{1}{2 + sqrt{4} } = frac{1}{2 + 2} = frac{1}{4}

Jawaban Terkonfirmasi

1. lim x^2-x-6 / x^2-7x+12
= lim (x – 3)(x +2)/(x – 4)(x – 3) ——–>> (coret "x – 3")
= (x + 2)/(x – 4) —————————->> (masukkan nilai "x = 9")
= (9 + 2)/(9 – 4)
= 11/5

2). lim 3x^2-8x+4 / x^2-5x+6
= lim (3x – 2)(x – 2)/(x – 3)(x – 2) ———>> (coret "x – 2")
= (3x – 2)/(x – 3) ——————————>> (masukkan nilai "x = 2")
= (3.2 – 2)/(2 – 3)
= (6 – 2)/-1
= 4/-1
= -4

3). lim 2-√x / 4-x
= lim (2 - √x)/(2 – √x)(2 + √x) ———–>> (coret "2 – √x")
= 1/(2 + √x) ———————————>> (masukkan nilai "x = 4")
= 1/(2 + √4)
= 1/(2 + 2)
= 1/4